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1001920 = 26531101
BaseRepresentation
bin11110100100111000000
31212220101011
43310213000
5224030140
633250304
711342023
oct3644700
91786334
101001920
11624837
12403994
1329106a
141c11ba
1514bcea
hexf49c0

1001920 has 56 divisors (see below), whose sum is σ = 2487168. Its totient is φ = 384000.

The previous prime is 1001911. The next prime is 1001933. The reversal of 1001920 is 291001.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1001920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9870 + ... + 9970.

21001920 is an apocalyptic number.

1001920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584).

1001920 is an abundant number, since it is smaller than the sum of its proper divisors (1485248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001920 is a wasteful number, since it uses less digits than its factorization.

1001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1001920 is about 1000.9595396418. The cubic root of 1001920 is about 100.0639590836.

Adding to 1001920 its reverse (291001), we get a palindrome (1292921).

The spelling of 1001920 in words is "one million, one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 101 124 155 160 202 248 310 320 404 496 505 620 808 992 1010 1240 1616 1984 2020 2480 3131 3232 4040 4960 6262 6464 8080 9920 12524 15655 16160 25048 31310 32320 50096 62620 100192 125240 200384 250480 500960 1001920